Motion of the proton in an asymmetric double minimum potential

摘要: A method different from the semiclassical WKB was developed for calculating energy levels of a proton and its penetration through barrier under an asymmetric double minimum potential. The potential written as sum parabolic term with at X = 0 Gaussian maximum X0. stationary states were found by variational using eigenfunctions harmonic oscillator time dependence system expanding eigenstate t in terms states. centered left well exponent consistent ground state this represented 0. is to oscillate anharmonically between two wells. conveniently described average frequency oscillation extreme expectation value proton's position second...